Given numbers are 268,730,322,335,679

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 268,730,322,335,679 is 1527654940.

Find LCM of 268,730,322,335,679 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 7 x 67 x 2 x 73 x 23 x 1 x 97 = 1527654940

Therefore, the lowest common multiple of 268,730,322,335,679 is 1527654940.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

268 x 730 x 322 x 335 x 679 = 14329403337200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

268 : 1, 2, 4, 67, 134, 268

730 : 1, 2, 5, 10, 73, 146, 365, 730

322 : 1, 2, 7, 14, 23, 46, 161, 322

335 : 1, 5, 67, 335

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,730,322,335,679, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

730:2x 5x 73

322:2x 7x 23

335:5x 67

679:7x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 5x 7x 67 = 9380

Therefore, the value for common factors is 9380.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 14329403337200/(1x9380)

LCM = 14329403337200/9380

LCM = 1527654940

Thus, we can understand that the LCM of 268,730,322,335,679 is 1527654940.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 240, 887, 609, 660, 807
• LCM of 267, 185, 658, 956, 934
• LCM of 398, 955, 542, 190, 436
• LCM of 653, 331, 222, 244, 253
• LCM of 172, 770, 160, 895, 735

1. What is the LCM of 268, 730, 322, 335, 679?

Answer: LCM of 268, 730, 322, 335, 679 is 1527654940.

2. How to calculate the LCM of 268, 730, 322, 335, 679?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 268, 730, 322, 335, 679.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.